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Finding the Fourth Proportional to 132,387.22, 182,695.58 and 71,958

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Solution

The fourth proportional to 132,387.22, 182,695.58 and 71,958 is: 99,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,387.22 : 182,695.58 = 71,958 : x
  2. Step 2: Convert to fraction form
    132,387.22/182,695.58 = 71,958/x
  3. Step 3: Cross multiply
    132,387.22x = 182,695.58 × 71,958
  4. Step 4: Simplify right side
    132,387.22x = 13,146,408,545.64
  5. Step 5: Solve for x
    x = 13,146,408,545.64/132,387.22
  6. Step 6: Final answer
    x = 99,302.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.